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Finding the Fourth Proportional to 3,441.35, 5,162.07 and 1,360.46

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Solution

The fourth proportional to 3,441.35, 5,162.07 and 1,360.46 is: 2,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.35 : 5,162.07 = 1,360.46 : x
  2. Step 2: Convert to fraction form
    3,441.35/5,162.07 = 1,360.46/x
  3. Step 3: Cross multiply
    3,441.35x = 5,162.07 × 1,360.46
  4. Step 4: Simplify right side
    3,441.35x = 7,022,789.75
  5. Step 5: Solve for x
    x = 7,022,789.75/3,441.35
  6. Step 6: Final answer
    x = 2,040.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.